The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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WEAK BI-IDEALS OF NEAR-RINGS

  • Cho, Yong-Uk (DEPARTMENT OF MATHEMATICS EDUCATION, COLLEGE OF EDUCATION, SILLA UNIVESITY) ;
  • Chelvam, T. Tamizh (DEPARTMENT OF MATHEMATICS, MANONMANIAM SUNDARANAR UNIVERSITY) ;
  • Jayalakshmi, S. (DEPARTMENT OF MATHEMATICS, SRI PARASAKTHI COLLEGE FOR WOMEN)
  • Published : 2007.08.31
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Abstract

The notion of bi-ideals in near-rings was effectively used to characterize the near-fields. Using this notion, various generalizations of regularity conditions have been studied. In this paper, we generalize further the notion of bi-ideals and introduce the notion of weak bi-ideals in near-rings and obtain various characterizations using the same in left self distributive near-rings.

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